Year brand model of RV
Perhaps you only have a "converter" that charges the batteries from 120vac
Not an "inverter" that makes 120v from battery power
Many RVs never had an inverter option for making 120v from battery power, if you do not have a built in generator, it is unlikely you have an inverter, generator was a much more popular option
Your lights water pump , heater/furnace.. Should work without 120v
Those are 12v from the camper house battery, not the engine/chassis battery
Even the fridge uses 12v for control circuits, even when operating on propane, which is the most efficient way, and the only way when there is no shore power plug in